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What Is the Characteristic Equation of the Differential Equation d2ydx2+5dydx6y=0\frac{d^{2} y}{d x^{2}}+5 \frac{d y}{d x}-6 y=0

Question 124

Multiple Choice

What is the characteristic equation of the differential equation d2ydx2+5dydx6y=0\frac{d^{2} y}{d x^{2}}+5 \frac{d y}{d x}-6 y=0 ?


A) (r+5) (r6) =0(r+5) (r-6) =0
B) (r+5) (r1) =0(r+5) (r-1) =0
C) r25r+6=0r^{2}-5 r+6=0
D) r2+5r6=0r^{2}+5 r-6=0

Correct Answer:

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